Ahmad’ average core on hi firt 3 tet i 90. If hi average on hi lat 2 tet i 80, what i hi average core for all 5 tet?

Answer:

domain is d. range is (0,1,2,3,4,5,6,7,8,9,10,11,12)

Answer:

32 square units.

Step-by-step explanation:

The shape is made up of three parts, a rectangle in the middle, and two identical triangle on each side.

Rectangle:  base = 2, height 8, area = 16

Each triangle: (vertical) base = 8, (horizontal) height = 2

Area = base * height /2 = 2*8/2 = 8

Total area = 8 + 16 + 8 = 32

The adjusted gross income = $25,675

The standard deduction is $3000

and the personal exemption is $2000

So,

His taxable income = 25,675 - (3000 + 2000) = 25,675 - 5,000 = 20,675

So, the ANSWER IS $20,675

The series converges for all values of x, with a radius of convergence (R) equal to infinity.

To find the Taylor series expansion of the function f(x) = sin(x) centered at x₀ = 0, we can use the Maclaurin series representation of sin(x). The Maclaurin series for sin(x) is given by:

sin(x) = x - (x³ / 3!) + (x⁵ / 5!) - (x⁷ / 7!) + ...

To determine the Taylor series about x₀ = 0, we substitute x = (x - x₀) = x into the Maclaurin series:

sin(x) = x - (x³ / 3!) + (x⁵ / 5!) - (x⁷ / 7!) + ...

This yields the Taylor series expansion of sin(x) centered at x₀ = 0:

sin(x) = Σ (-1)ⁿ * (x²ⁿ⁺¹ / (2n+1)!)

The radius of convergence (R) of the series can be determined using the ratio test. The ratio test states that if the limit of the absolute value of the ratio of consecutive terms in a series is L, then the series converges if L < 1 and diverges if L > 1.

Let's apply the ratio test to the series:

|((-1)ⁿ⁺¹ * (x²⁽ⁿ⁺¹⁾⁺¹ / (2(n+1)+1)!)) / ((-1)ⁿ * (x²ⁿ⁺¹ / (2n+1)!))|

= |(-1) * (x²ⁿ⁺³ / (2n+3)!) * ((2n+1)! / (x²ⁿ⁺¹))|

= |(-1) * (x²ⁿ⁺³ / (2n+3)!) * ((2n+1)! / (x²ⁿ⁺¹))|

= |(-1) * x² / (2n+3)(2n+2)|

Taking the limit as n approaches infinity:

\(lim_{n- > oo}\) |(-1) * x² / (2n+3)(2n+2)| = |(-1) * x² / (2∞+3)(2∞+2)|

= |(-1) * x² / ∞²|

Since the limit of a constant divided by infinity is 0, we have:

\(lim_{n- > oo}\) |(-1) * x² / (2n+3)(2n+2)| = 0

Therefore, the series converges for all values of x. This means the radius of convergence (R) is infinite:

R = ∞

To summarize, the Taylor series expansion of sin(x) centered at x0 = 0 is given by:

sin(x) = Σ (-1)ⁿ * (x²ⁿ⁺¹ / (2n+1)!)

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Answer:8

Step-by-step explanation:

Given that,

Length of a chord = 28 inches

Radius of the circle = 50 inches

To find,

The distance the chord from the center of the circle.

Solution,

Let the distance from the chord to the centre of circle is x.

It is denoted by OM.

Using Pythagoras theorem to find it.

\(50^2=28^2+x^2\\\\x=\sqrt{50^2-28^2} \\\\x=41.42\ \text{inches}\)

So, the distance from the chord to the centre of circle 41.42 inches

On evaluate the integral of the difference between the two functions.

The area between the curves is approximately 4.00

First, let's find the intersection points of the curves.

Set the two given functions equal to each other:

\(5e^{(5x)} = 4e^{(5x)} + 1\)

Subtracting \(4e^{(5x)} + 1\)from both sides gives:

\(e^{(5x)}\) = 1

Taking the natural logarithm of both sides:

5x = ln(1)

Since ln(1) = 0, we have:

5x = 0

x = 0

So the curves intersect at x = 0.

To find the bounds of integration, we need to determine where one curve is above the other. Let's compare the y-values of the two curves at x = -2 and x = 2.

For x = -2:

\(y1 = 5e^{(5(-2))} = 5e^{(-10)}\)

\(y2 = 4e^{(5(-2))} + 1 = 4e^{(-10)} + 1\)

For x = 2:

\(y1 = 5e^{(5(2))} = 5e^{(10)}\\y2 = 4e^{(5(2))} + 1 = 4e^{(10)} + 1\)

Since the curve given by y = \(4e^{(5x)}\) + 1 is always above the curve given by y =\(5e^{(5x)}\), we integrate the difference of the two functions within the bounds of x = -2 to x = 2:

\(∫[x=-2 to x=2] (4e^{(5x)} + 1 - 5e^{(5x))} dx\)

Expanding the integral:

\(∫[x=-2 to x=2] (4e^{(5x)} - 5e^{(5x)} + 1) dx\)

Combining like terms:

\(∫[x=-2 to x=2] (-e^{(5x)}+ 1) dx\)

Integrating term by term:

\([-(1/5)e^{(5x) }+ x]\)evaluated from x = -2 to x = 2

Substituting the limits:

\([-(1/5)e^{(5(2)}) + 2] - [-(1/5)e^{(5(-2)}) + (-2)]\)

Simplifying:

\([-(1/5)e^{10} + 2] - [-(1/5)e^{(-10)}- 2]\)

Using the fact that e^(-x) = \(1/e^x:\)

\([-(1/5)e^10 + 2] - [-(1/5)(1/e^10) - 2]\)

Simplifying further:

\([-(1/5)e^10 + 2] + [1/(5e^10)] + 2\)

Combining terms:

[1/(\(5e^{10}\))] + 4

Now we can approximate the value. Using a calculator, we find:

[1/(\(5e^{10}\))] + 4 ≈ 4.00

Therefore, the area between the curves is approximately 4.00 (rounded to two decimal places).To find the area between the curves, we need to determine the bounds of integration and then evaluate the integral of the difference between the two functions.

First, let's find the intersection points of the curves.

Set the two given functions equal to each other:

\(5e^{(5x)} = 4e^{(5x)} + 1\)

Subtracting 4e^(5x) + 1 from both sides gives:

\(e^{(5x)} = 1\)

Taking the natural logarithm of both sides:

5x = ln(1)

Since ln(1) = 0, we have:

5x = 0

x = 0

So the curves intersect at x = 0.

To find the bounds of integration, we need to determine where one curve is above the other. Let's compare the y-values of the two curves at x = -2 and x = 2.

For x = -2:

\(y1 = 5e^{(5(-2)}) = 5e^{(-10)}\\y2 = 4e^({5(-2)}) + 1 = 4e^{(-10)} + 1\)\(y1 = 5e^{({5(2)})} = 5e^{(10)}\\y2 = 4e^{({5(2)}) }+ 1 = 4e^{(10)} + 1\)

For x = 2:

\(y1 = 5e^{(5(2))}= 5e^{(10)}\\y2 = 4e^{(5(2))} + 1 = 4e^{(10)} + 1\)

Since the curve given by \(y = 4e^{(5x)} + 1\) is always above the curve given by y = 5e^(5x), we integrate the difference of the two functions within the bounds of x = -2 to x = 2:

\(∫[x=-2 to x=2] (4e^{(5x)}+ 1 - 5e^{(5x)}) dx\)

Expanding the integral:

∫[x=-2 to x=2] (\(4e^{(5x)}\)) - \(5e^{(5x)}\) + 1) dx

Combining like terms:

∫[x=-2 to x=2] (\(-e^{(5x)}\)+ 1) dx

Integrating term by term:

\([-(1/5)e^{(5x)} + x] evaluated from x = -2 to x = 2\)

Substituting the limits:

\([-(1/5)e^{(5(2)}) + 2] - [-(1/5)e^{(5(-2)}) + (-2)]\)

Simplifying:

\([-(1/5)e^{10} + 2] - [-(1/5)e^{(-10)} - 2]\)

Using the fact that e^(-x) = 1/\(e^x\):

[-(1/5)e^10 + 2] - [-(1/5)(1/e^10) - 2]

Simplifying further:

[-(1/5)\(e^{10}\) + 2] + [1/\((5e^{10})\)] + 2

Combining terms:

\([1/(5e^{10})] + 4\)

Now we can approximate the value. Using a calculator, we find:

[1/\((5e^{10})\)] + 4 ≈ 4.00

Therefore, the area between the curves is approximately 4.00 (rounded to two decimal places).

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False, sample evidence cannot prove that a null hypothesis is true.

Sample evidence can be used to infer whether a null hypothesis is true or not, but it cannot prove it to be true. The null hypothesis is a statement of no effect or no difference, and it is typically used as a starting point for statistical hypothesis testing. When sample data is collected, it is used to calculate a test statistic, which is then used to make a decision about the null hypothesis.

If the test statistic falls within the acceptance region, meaning that it is not unlikely to occur if the null hypothesis is true, then the null hypothesis is not rejected. However, if the test statistic falls in the rejection region, meaning that it is unlikely to occur if the null hypothesis is true, then the null hypothesis is rejected. The conclusion is that the sample evidence provides a probability that the null hypothesis is true or not, but it cannot prove it to be true.

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Answer:

900

Step-by-step explanation:

527 to 1sf is 500

389 to 1sf is 400

400+500=900

Answer:

900

Step-by-step explanation:

527 to 500

389 to 400

500+400=900

Answer:

The answer is in the 4th quadrant

Step-by-step explanation:

I really hope this helped!!! have a great day. :)

Answer:

\(x_{1} =\frac{-17- \sqrt{129}}{2}, x_{2} =\frac{-17+ \sqrt{129}}{2} \)

Step-by-step explanation:

\( \frac{x + 2}{x + 3} + \frac{x - 3}{x + 2} = \frac{5}{2} \)

\( \frac{x + 2}{x + 3} + \frac{x - 3}{x + 2} = \frac{5}{2} \)

\( \frac{x + 2}{x + 3} + \frac{x - 3}{x + 2} - \frac{5}{2} = 0\)

\( \frac{2(x + 2 {)}^{2} + 2(x + 3) \times (x - 3) - 5(x + 3) \times (x + 2) }{2(x + 3) \times (x + 2)} = 0\)

\( \frac{2(x + 2 {)}^{2} + 2( {x}^{2} - 9) + ( - 15x - 15) \times (x + 2) }{2(x + 3) \times (x + 2)} = 0 \)

\( \frac{2( {x}^{2} + 4x + 4) - 3 {x}^{2} - 48 - 25x}{2(x + 3) \times (x + 2)} = 0\)

\( \frac{2 {x}^{2} + 8x + 8 - 3 {x}^{2} - 48 - 25x }{2(x + 3) \times (x + 2)} = 0\)

\( \frac{ - {x}^{2} - 17x - 40 }{2(x + 3) \times (x + 2)} = 0\)

\( {x}^{2} + 17x + 40 = 0\)

\(x = \frac{ - 17± \sqrt{ {17}^{2} - 4 \times 1 \times 40 } }{2 \times 1} \)

\(x = \frac{ - 17± \sqrt{289 - 160} }{2} \)

\(x = \frac{ - 17± \sqrt{129} }{2} \)

\(x_{1} =\frac{-17- \sqrt{129}}{2}, x_{2} =\frac{-17+ \sqrt{129}}{2} \)

The required value of R2 score rounded to 3 decimal places is 0.045.

To fit a multiple linear regression to predict power (y) using x1, x2, x3, and x4 and calculate r2 for this model and round your answer to 3 decimal places, follow these steps:

Step 1: Import necessary libraries

We first import necessary libraries such as pandas, numpy, and sklearn. In python, we can do that as follows:

import pandas as pd

import numpy as np

from sk learn.linear_model

import Linear Regression

Step 2: Create dataframe

We can then create a dataframe with x1, x2, x3, x4 and y as columns. We can use numpy's random.randn() method to create a random data. We can use pd.

DataFrame() to create a dataframe. We can do that as follows:

data = pd.DataFrame({'x1': np.random.randn(100),

'x2': np.random.randn(100),

'x3': np.random.randn(100),

'x4': np.random.randn(100),

'y': np.random.randn(100)})

Step 3: Create linear regression model

We can then create a linear regression model. We can use the sklearn library to create a linear regression model. We can use the Linear

Regression() method to create a linear regression model. We can do that as follows:

model = LinearRegression()

Step 4: Fit the model to the dataWe can then fit the model to the data. We can use the fit() method to fit the model to the data. We can do that as follows:

model.fit(data[['x1', 'x2', 'x3', 'x4']], data['y'])

Step 5: Predict the value

We can then predict the value using predict() method. We can use that to predict the value of y. We can do that as follows:

predicted_y = model.predict(data[['x1', 'x2', 'x3', 'x4']])

Step 6: Calculate R2 score

We can then calculate R2 score. We can use the sklearn library to calculate the R2 score. We can use the r2_score() method to calculate the R2 score. We can do that as follows:

from sklearn.metrics import r2_scoreR2 = r2_score(data['y'], predicted_y)

To round off the answer to 3 decimal places, we can use the round() method.

We can do that as follows:

round(R2, 3)Therefore, the required value of R2 score rounded to 3 decimal places is 0.045.

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Answer:

im sorry

Step-by-step explanation:

da dog doin ur mom

Answer:

according to my calculations, no human has ever figured out what da dog doin. many have tried and failed, we are now finding various ways to test this, with many complications of course. i shall keep you informed while we find the answer to this difficult question.

Step-by-step explanation:

PFFT i tried so hard to make this sound professional

Answer: A

Step-by-step explanation: I would say A because the angle is greater than 90 degrees

Answer:

We have supplementary angles.

76 + 3x + 2 = 180

3x + 78 = 180

3x = 102

x = 34

Answer:

1215

Step-by-step explanation:

Answer:

Part A: \(\frac{3}{5}\)

Part B: \(\frac{1}{2}\)

Step-by-step explanation:

We know that Alinn flipped a coin 20 times, and that 12 of those times resulted in heads. The other 8 times resulted in tails.

Part A wants us to find the experimental probability of the coin landing on heads. Experimental probability is the probability determined based on the experiments performed.

Part B wants us to find the theoretical probability of the coin landing on heads. Theoretical probability is determined based on the number of favorable outcomes over the number of possible outcomes.

Experimental probability is determined as # of times something occurred experimentally / total number of times.  

Since 12 of the 20 times that Alinn flipped the coin resulted in heads, this means that the experimental probability of Alinn flipping heads is \(\frac{12}{20}\), which simplifies down to \(\frac{3}{5}\).

Theoretical probability, as stated above, is the number of favorable outcomes / possible outcomes.

Our favorable outcome is flipping heads, and on a coin, there are two sides that a coin can land on: heads and tails. This means that there are two possible outcomes, and only one of them is favorable.

This means that our theoretical probability is \(\frac{1}{2}\).

Answer:

The answer is shown in the picture!

Step-by-step explanation:

Hope this helps! <3

Answer:

6.862745098%

Step-by-step explanation:

8/18x7/17x6/16=0.06862745098

0.06862745098 * 100 = 6.862745098%

The triangles' corresponding sides' are proportional and their corresponding angles are congruent therefore, the triangles are sim

The correct option is C). proportional; congruent; similar

When the triangle is dilated from the origin at a scale factor of 2 to create Triangle then, the image of the triangle and the original triangle are similar to each other

However for similar triangles, corresponding angles are equal or congruent, and corresponding sides are in ratio or scaled

For example : A triangle ABC is dilated by a factor of 3 and centered at (-5,-4)

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The depreciation expense for the year is $260,000. This means that the correct answer is option D: $260,000.

The depreciation expense for the year can be calculated by multiplying the depreciation per unit by the number of units produced. In this case, the depreciation per unit is given as $1.30, and the number of units produced is 200,000.

To find the depreciation expense, we can use the following formula:

Depreciation expense = Depreciation per unit × Number of units produced

Plugging in the values, we have:

Depreciation expense = $1.30 × 200,000

Multiplying, we get:

Depreciation expense = $260,000.

Therefore, the depreciation expense for the year is $260,000. This means that the correct answer is option D: $260,000.

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Answer:

Circumference = 28.26

Area = 63.585 cm²

Step-by-step explanation:

Formula for Circumference:

C = 2 × π × r

C = Circumference

r = radius

Radius = Diameter ÷ 2

9 ÷ 2 = 4.5

C = 2(3.14)(4.5)

C = 28.26

Formula for Area:

A = π × r²

9 ÷ 2 = 4.5

4.5 is the radius.

A = (3.14)(4.5)²

Simplify:

(3.14)(20.25)

= 63.585 cm²

The temperature at a point (x, y, z) within the solid E bounded by the coordinate planes and the plane x + y + z = 1 is represented by the function T(x, y, z).

The temperature at a point (x, y, z) of a solid E bounded by the coordinate planes (x = 0, y = 0, z = 0) and the plane x + y + z = 1 can be represented as a function T(x, y, z).

In this context, the solid E represents a region in three-dimensional space that is confined within the coordinate planes and the plane x + y + z = 1. The temperature at any point (x, y, z) within this solid is denoted by T(x, y, z).

The function T(x, y, z) assigns a temperature value to each point (x, y, z) within the solid E. The temperature can vary across different points in the solid, indicating that the solid may have regions of different temperatures. By evaluating T(x, y, z) at specific values of x, y, and z, we can determine the temperature at a particular point within the solid.

The function T(x, y, z) is likely influenced by various factors, such as heat

sources or sinks within the solid, thermal conductivity of the material, and boundary conditions imposed by the coordinate planes and the plane x + y + z = 1. These factors determine how the temperature is distributed throughout the solid and can be represented by mathematical equations or physical models.

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Answer:

Yes

Step-by-step explanation:

A function is a relation where each input has its own output

In other words a function is a relation where each x value has its own y value.

If an x value repeats than the relation is not a function

It appears that the relation shown is a function as each x value has its own y value and none of the x values repeats, therefore the answer is yes

The price per T-shirt should be at least $15 to achieve a profit of $250.

To calculate the price per T-shirt that will yield a profit of at least $250, we need to consider the cost of production, the desired profit, and the number of shirts to be sold.

Given that the cost to make each T-shirt is $10, and we want to sell 50 shirts, the total cost of production would be 10 * 50 = $500.

Now, let's calculate the minimum revenue needed to achieve a profit of $250. We add the desired profit to the total cost of production: $500 + $250 = $750.

Finally, to determine the price per T-shirt, we divide the total revenue by the number of shirts: $750 ÷ 50 = $15.

Therefore, to make a profit of at least $250, the price per T-shirt should be set at $15.

By selling each T-shirt for $15, the total revenue would be $15 * 50 = $750. From this revenue, we subtract the total production cost of $500 to calculate the profit, which amounts to $750 - $500 = $250. Thus, by charging $15 per T-shirt, the desired profit of $250 is achieved.

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The equation x^2 - 14x + 24 = 0 can be solved to find the roots. The roots of the equation are x1 = 2 and x2 = 12.

To find the roots of the equation x^2 - 14x + 24 = 0, we can use the quadratic formula. The quadratic formula states that for an equation in the form ax^2 + bx + c = 0, the roots can be calculated using the formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

In this case, a = 1, b = -14, and c = 24. Plugging these values into the quadratic formula, we get:

x = (-(-14) ± √((-14)^2 - 4(1)(24))) / (2(1))

= (14 ± √(196 - 96)) / 2

= (14 ± √100) / 2

= (14 ± 10) / 2

This gives us two solutions:

x1 = (14 + 10) / 2 = 24 / 2 = 12

x2 = (14 - 10) / 2 = 4 / 2 = 2

Therefore, the roots of the equation x^2 - 14x + 24 = 0 are x1 = 2 and x2 = 12.

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Answer:

More than likely it looks like a right angle or 90 degrees so the answer is mostly 51.

Step-by-step explanation:

90 - 39 = 51

Answer:754 divided by 13 equals 58 so he drives 58 miles an hour so 58 times 7 equals 406 he drove 406 miles

Step-by-step explanation:

Answer:

406 miles

Step-by-step explanation:

13/754=7/x

cross multiply

13x=754*7

13x=5278

x=5278/13

x=406

The free cash flow (FCF) for year 1 can be calculated by subtracting the investment in fixed assets and the investment in net working capital from the profit after taxes and adding back the depreciation. In this case, the free cash flow for year 1 is $2 million

Free cash flow (FCF) is a measure of the cash generated by a company after accounting for its expenses and investments in fixed assets and working capital. It represents the amount of cash available to the company for distribution to its shareholders, reinvestment in the business, or debt reduction.

In this case, the given data states that the profit after taxes is $5 million, the depreciation is $2 million, the investment in fixed assets is $4 million, and the investment in net working capital is $1 million.

The free cash flow (FCF) for year 1 can be calculated as follows:

FCF = Profit after taxes + Depreciation - Investment in fixed assets - Investment in net working capital

FCF = $5 million + $2 million - $4 million - $1 million

FCF = $2 million

Therefore, the free cash flow for year 1 is $2 million. This means that after accounting for investments and expenses, the company has $2 million of cash available for other purposes such as expansion, dividends, or debt repayment.

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The project to produce a new smartwatch requires an initial investment of $933. Over the course of 10 years, the project will generate a total revenue of $275 per year. In the 10th year, there will be an additional cost of $446 for project wind down.

To calculate the net cash flow for each year, we need to subtract the project expenses from the revenue generated. In this case, the project expenses include the initial investment, the clean up fee, and any annual expenses. Since the question does not provide information about annual expenses, we will assume that there are no additional expenses apart from the clean up fee in the 10th year.
Let's break down the calculations year by year:
Year 1:
Revenue: $275
Expenses: $933
Net Cash Flow: $275 - $933 = -$658
Years 2-9:
Revenue: $275
Expenses: $0 (assuming no annual expenses)
Net Cash Flow: $275 - $0 = $275
Year 10:
Revenue: $275
Expenses: $446 (clean up fee)
Net Cash Flow: $275 - $446 = -$171

Now, let's calculate the cumulative cash flow over the 10-year period:
Year 1: -$658
Year 2: $275
Year 3: $275
Year 4: $275
Year 5: $275
Year 6: $275
Year 7: $275
Year 8: $275
Year 9: $275
Year 10: -$171
To find the total cumulative cash flow, we add up the net cash flows for each year:
Cumulative Cash Flow: -$658 + $275 + $275 + $275 + $275 + $275 + $275 + $275 + $275 - $171 = $1,077

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The complete question is:

A company has pitched a project that produces a new smart watch. The project requires an investment of 933 dollars, and will generate 275 dollars for 10 years. In the 10th year, the project requires a clean up fee to wind down the project of 446 dollars.

What is the NPV of the project given a cost of capital of 8.18 percent?